Question

(x-y)(y-x)的二次方乘(x-y)的三次方

(x-y)(y-x)²×(x-y)³
(b-a)(a-b)³×(b-a)³
已知a^m=2,a^n=3求下列各式的值：
①a^m+a
②a^3+n
③a^m+n+3

Answer 1

(x-y)(y-x)²×(x-y)³
=(x-y)(x-y)²×(x-y)³
=(x-y)^(1+2+3)
=(x-y)^6

(b-a)(a-b)³×(b-a)³
=(a-b)(a-b)³×(a-b)³
=(a-b)^(1+3+3)
=(a-b)^7

追问

谢谢，再问一道：
已知a^m=2,a^n=3求下列各式的值：
①a^m+a
②a^3+n
③a^m+n+3
答完采纳，再次感谢~~~

追答

①a^m+n=a^m×a^n=2x3=6

②a^3+n=a^3xa^n=3a³

③a^m+n+3=a^m+n×a^3=6a³

Answer 2

(x-y)(y-x)²×(x-y)³
=(x-y)(x-y)²×(x-y)³
=(x-y)^6

(b-a)(a-b)³×(b-a)³
=(a-b)(a-b)³×(a-b)³
=（a-b)^7

Answer 3

(x-y)(y-x)²×(x-y)³
=(x-y)(x-y)²×(x-y)³
=(x-y)的6次方

(b-a)(a-b)³×(b-a)³
=(b-a)[-(b-a)³]×(b-a)³
=-(b-a)的7次方